{"id":"https://openalex.org/W3185529251","doi":"https://doi.org/10.23919/acc50511.2021.9483346","title":"Saddle Flow Dynamics: Observable Certificates and Separable Regularization","display_name":"Saddle Flow Dynamics: Observable Certificates and Separable Regularization","publication_year":2021,"publication_date":"2021-05-25","ids":{"openalex":"https://openalex.org/W3185529251","doi":"https://doi.org/10.23919/acc50511.2021.9483346","mag":"3185529251"},"language":"en","primary_location":{"id":"doi:10.23919/acc50511.2021.9483346","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9483346","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 American Control Conference (ACC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090203537","display_name":"Pengcheng You","orcid":"https://orcid.org/0000-0003-1532-8773"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pengcheng You","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, US","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032910355","display_name":"Enrique Mallada","orcid":"https://orcid.org/0000-0003-1568-1833"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Enrique Mallada","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, US","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8962,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76258688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"4817","last_page":"4823"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10462","display_name":"Reinforcement Learning in Robotics","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7697999477386475},{"id":"https://openalex.org/keywords/saddle","display_name":"Saddle","score":0.6446267366409302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5966441035270691},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5682225227355957},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5091521143913269},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5048747658729553},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.44999516010284424},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4402288496494293},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39984506368637085},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38516712188720703},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3386033773422241},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26984596252441406},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12979668378829956},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08823549747467041}],"concepts":[{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7697999477386475},{"id":"https://openalex.org/C2777127463","wikidata":"https://www.wikidata.org/wiki/Q10862618","display_name":"Saddle","level":2,"score":0.6446267366409302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5966441035270691},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5682225227355957},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5091521143913269},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5048747658729553},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.44999516010284424},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4402288496494293},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39984506368637085},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38516712188720703},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3386033773422241},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26984596252441406},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12979668378829956},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08823549747467041},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc50511.2021.9483346","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc50511.2021.9483346","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5123161237","display_name":null,"funder_award_id":"CAREER 1752362,EPCN 1711188,AMPS 1736448,TRIPODS 1934979","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1997637758","https://openalex.org/W2007696489","https://openalex.org/W2027270344","https://openalex.org/W2056226204","https://openalex.org/W2065322876","https://openalex.org/W2097460613","https://openalex.org/W2158893758","https://openalex.org/W2243302717","https://openalex.org/W2735200652","https://openalex.org/W2797302609","https://openalex.org/W2936870882","https://openalex.org/W2962717811","https://openalex.org/W2962917190","https://openalex.org/W2963135216","https://openalex.org/W2963430672","https://openalex.org/W2963651047","https://openalex.org/W2964102336","https://openalex.org/W2964316998","https://openalex.org/W2966852572","https://openalex.org/W2991643003","https://openalex.org/W2992041382","https://openalex.org/W3035066789","https://openalex.org/W3042135496","https://openalex.org/W3080294487","https://openalex.org/W3080971735","https://openalex.org/W3103470934","https://openalex.org/W3110816451","https://openalex.org/W4244393449","https://openalex.org/W6786799426"],"related_works":["https://openalex.org/W4236459141","https://openalex.org/W4205304778","https://openalex.org/W2020252434","https://openalex.org/W73248859","https://openalex.org/W2584253892","https://openalex.org/W2350324449","https://openalex.org/W119381072","https://openalex.org/W2034033896","https://openalex.org/W2094891943","https://openalex.org/W4240399920"],"abstract_inverted_index":{"This":[0,22],"paper":[1],"proposes":[2],"a":[3,19,38,60,81,103],"certificate,":[4],"rooted":[5],"in":[6,37],"observability,":[7],"for":[8,64],"asymptotic":[9,78],"convergence":[10,79],"of":[11,15],"saddle":[12,20,65,82,88],"flow":[13,66,89],"dynamics":[14,67,90],"convex-concave":[16],"functions":[17],"to":[18,58,80,87,106],"point.":[21,83],"observable":[23],"certificate":[24,57],"directly":[25],"bridges":[26],"the":[27,30,34,94],"gap":[28],"between":[29],"invariant":[31],"set":[32,36],"and":[33,41,49,74,97],"equilibrium":[35],"LaSalle":[39],"argument,":[40],"generalizes":[42],"conventional":[43],"conditions":[44],"such":[45],"as":[46,102],"strict":[47],"convexity-concavity":[48,73],"proximal":[50],"regularization.":[51],"We":[52],"further":[53],"build":[54],"upon":[55],"this":[56],"propose":[59],"separable":[61],"regularization":[62],"method":[63],"that":[68],"makes":[69],"minimal":[70],"requirements":[71],"on":[72,93],"yet":[75],"still":[76],"guarantees":[77],"Our":[84],"results":[85],"generalize":[86],"with":[91],"projections":[92],"vector":[95],"field":[96],"have":[98],"an":[99],"immediate":[100],"application":[101],"distributed":[104],"solution":[105],"linear":[107],"programs.":[108]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}